a. Show the mathematical derivation for a hypothetical third-order integrated rate law equation concerning a chemical reaction that has ONLY ONE reactant, A. b. Derive the mathematical expression for...

a. Show the mathematical derivation for a hypothetical third-order integrated rate law equation concerning a chemical reaction that has ONLY ONE reactant, A. b. Derive the mathematical expression for the general half-life of this hypothetical third order reaction? c. The scenario of having termolecular-determined kinetics (third-order kinetics) is indeed just hypothetical or imaginary. Simply put, third-order kinetics are very extremely rare if not totally impossible in nature. Succinctly explain why.

Extracted text: Part 2.2 a. Show the mathematical derivation for a hypothetical third-order integrated rate law equation concerning a chemical reaction that has ONLY ONE reactant, A. b. Derive the mathematical expression for the general half-life of this hypothetical third order reaction ? c. The scenario of having termolecular-determined kinetics (third-order kinetics) is indeed just hypothetical or imaginary. Simply put, third-order kinetics are very extremely rare if not totally impossible in nature. Succinctly explain why.